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» The Complexity of Graph Connectivity
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125
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IPL
2008
68views more  IPL 2008»
15 years 3 months ago
The hub number of a graph
A hub set in a graph G is a set U V (G) such that any two vertices outside U are connected by a path whose internal vertices lie in U. We prove that h(G) hc(G) c(G) h(G) + 1, ...
Tracy Grauman, Stephen G. Hartke, Adam Jobson, Bil...
122
Voted
WG
2005
Springer
15 years 9 months ago
Recognizing HHDS-Free Graphs
In this paper, we consider the recognition problem on the HHDS-free graphs, a class of homogeneously orderable graphs, and we show that it has polynomial time complexity. In partic...
Stavros D. Nikolopoulos, Leonidas Palios
134
Voted
COMGEO
2008
ACM
15 years 3 months ago
Encompassing colored planar straight line graphs
Consider a planar straight line graph (PSLG), G, with k connected components, k 2. We show that if no component is a singleton, we can always find a vertex in one component that s...
Ferran Hurtado, Mikio Kano, David Rappaport, Csaba...
125
Voted
ESA
1999
Springer
95views Algorithms» more  ESA 1999»
15 years 8 months ago
A Fast General Methodology for Information - Theoretically Optimal Encodings of Graphs
We propose a fast methodology for encoding graphs with information-theoretically minimum numbers of bits. Specifically, a graph with property π is called a π-graph. If π satis...
Xin He, Ming-Yang Kao, Hsueh-I Lu
127
Voted
INFOCOM
2008
IEEE
15 years 10 months ago
Constrained Relay Node Placement in Wireless Sensor Networks to Meet Connectivity and Survivability Requirements
— The relay node placement problem for wireless sensor networks is concerned with placing a minimum number of relay nodes into a wireless sensor network to meet certain connectiv...
Satyajayant Misra, Seung Don Hong, Guoliang Xue, J...